A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Hey guys. I need help on precal. I don't really understand horizontal and vertical stretches besides the fact that "a stretch by a factor of c if c > 1" and "a shrink by a factor of c if c < 1" I will post the question below.
anonymous
 one year ago
Hey guys. I need help on precal. I don't really understand horizontal and vertical stretches besides the fact that "a stretch by a factor of c if c > 1" and "a shrink by a factor of c if c < 1" I will post the question below.

This Question is Closed

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Whenever you `multiply y by something`, it corresponds to a `vertical stretch`. Whenever you `multiply x by something`, it corresponds to a `horizontal stretch`.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm \color{orangered}{y=\sqrt x}\]We achieve our new function multiplying both sides by 8,\[\large\rm 8\color{orangered}{y}=8\color{orangered}{\sqrt x}\] If f(x) = y Then g(x) = 8y This is a `vertical stretch` of f(x) by a factor of 8. We manipulated the y.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1It might be confusing the way I said that you're `multiplying y by something`. But remember that this \(\large\rm \sqrt{x}\) is y. So when you multiply that by 8, you're multiplying y by 8, because that is y.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1To make horizontal stretches, you multiply x by a value. Example:\[\large\rm f(x)=\sqrt{x}\qquad\to\qquad g(x)=\sqrt{4x}\]g(x) represents a `horizontal stretch` of f(x) by a factor of 4.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much! No, I understood you completely it was much easier understanding your explanation than the textbook's. Thank you. :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.